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Finding the Third Proportional to 23,721.50 and 51,339

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Solution

The third proportional to 23,721.50 and 51,339 is: 111,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,721.50 : 51,339 = 51,339 : x
  2. Step 2: Convert to fraction form
    23,721.50/51,339 = 51,339/x
  3. Step 3: Cross multiply
    23,721.50x = 51,339 × 51,339
  4. Step 4: Simplify right side
    23,721.50x = 2,635,692,921
  5. Step 5: Solve for x
    x = 2,635,692,921/23,721.50
  6. Step 6: Final answer
    x = 111,109.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.